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Finding the Fourth Proportional to 129.96, 193.81 and 106.92

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Solution

The fourth proportional to 129.96, 193.81 and 106.92 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.96 : 193.81 = 106.92 : x
  2. Step 2: Convert to fraction form
    129.96/193.81 = 106.92/x
  3. Step 3: Cross multiply
    129.96x = 193.81 × 106.92
  4. Step 4: Simplify right side
    129.96x = 20,722.17
  5. Step 5: Solve for x
    x = 20,722.17/129.96
  6. Step 6: Final answer
    x = 159.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.